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Fittoniya [83]
3 years ago
14

Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74 Dollars (Approximate)  

{Rounded to the nearest cent} (Answer)

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11.Tell whether each situation can be represented by a negative number, 0, or a positive number. Negative Number 0 Positive Numb
Xelga [282]

Answer:

negative

positive

negative

zero

positive

Step-by-step explanation:

Situation 1: A football team's first play resulted in a loss of 15 yards.

negative

Situation 2: A store marks up the price of a calculator $5.20.

positive

Situation 3: Nina withdrew $50 from her bank account.

negative

Situation 4: A porpoise is swimming at sea level.

zero

Situation 5: Kylie scored 2 goals in yesterday's soccer game.​

positive

5 0
2 years ago
The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
Multiply: (5x2y – 3xy2)(3xy2 + 5x2y)<br> Please help I need to get this one right!
Aliun [14]

Answer:

(1): "*-5x2y" was replaced by "*(-5x2y)".

(2): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (3x • (y2)) • (0 -  (5x2 • y))

STEP

2

:

Equation at the end of step

2

:

 3xy2 •  -5x2y

STEP

3

:

Multiplying exponential expressions :

3.1    x1 multiplied by x2 = x(1 + 2) = x3

Multiplying exponential expressions :

3.2    y2 multiplied by y1 = y(2 + 1) = y3

I believe the answer is   ( -3•5x3y3)

6 0
3 years ago
What is h(-4) for h(x) =(x-2)^2 +3x
PSYCHO15rus [73]

(- 4 - 2)^{2}  + 3( - 4) \\  = ( - 6)^{2}  + ( - 12) \\  = 36 - 12 \\  = 24
The answer is 24
7 0
2 years ago
point X is located at (2,-6), and point Z is located at (0,5). find the value for the point Y that is located 1/5 the distance f
HACTEHA [7]
Let point is(x,y)
x=(2-0)/5=2/5
y=(-6-5)/5=-11/5
(2/5,-11/5)
8 0
3 years ago
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